Problem

Two particles

A

and

B

start moving simultaneously along the line joining them in the same direction with acceleration of

1 \text{ m/s}^2

and

2 \text{ m/s}^2

and speeds

3 \text{ m/s}

and

1 \text{ m/s}

respectively. Initially,

A

10 \text{ m}

behind

B

. What is the minimum distance between them?